160993886739840 has 3072 divisors, whose sum is σ = 755258370048000. Its totient is φ = 31775926026240.

The previous prime is 160993886739809. The next prime is 160993886739893. The reversal of 160993886739840 is 48937688399061.

160993886739840 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 93 + 88 + 67 + 398 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 160993886739840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41038460119 + ... + 41038464041.

It is an arithmetic number, because the mean of its divisors is an integer number (245852334000).

Almost surely, 2^{160993886739840} is an apocalyptic number.

160993886739840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160993886739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377629185024000).

160993886739840 is an abundant number, since it is smaller than the sum of its proper divisors (594264483308160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

160993886739840 is a wasteful number, since it uses less digits than its factorization.

160993886739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 160993886739840 in words is "one hundred sixty trillion, nine hundred ninety-three billion, eight hundred eighty-six million, seven hundred thirty-nine thousand, eight hundred forty".